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Sep 22, 2013
09/13

by
Adam Parusinski; Guillaume Rond

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We show that every quasi-ordinary Weierstrass polynomial $P(Z) = Z^d+a_1 (X) Z^{d-1}+...+a_d(X) \in \K[[X]][Z] $, $X=(X_1,..., X_n)$, over an algebraically closed field of characterisic zero $\K$, and satisfying $a_1=0$, is $\nu$-quasi-ordinary. That means that if the discriminant $\Delta_P \in \K[[X]]$ is equal to a monomial times a unit then the ideal $(a_i^{d!/i}(X))_{i=2,...,d}$ is principal and generated by a monomial. We use this result to give a constructive proof of the Abhyankar-Jung...

Source: http://arxiv.org/abs/1103.2559v2

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Sep 18, 2013
09/13

by
Patrick Popescu-Pampu

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A germ of normal complex analytical surface is called a Hirzebruch-Jung singularity if it is analytically isomorphic to the germ at the 0-dimensional orbit of an affine toric surface. Two such germs are known to be isomorphic if and only if the toric surfaces corresponding to them are equivariantly isomorphic. We extend this result to higher-dimensional Hirzebruch-Jung singularities, which we define to be the germs analytically isomorphic to the germ at the 0-dimensional orbit of an affine...

Source: http://arxiv.org/abs/math/0306118v1

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Jun 30, 2018
06/18

by
Zh. G. Nikoghosyan

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Using algebraic transformations and equivalent reformulations we derive a number of new results from some earlier ones (by the author) in more accepted terms closely related to well-known conjectures of Bondy and Jung including a number of classical results in hamiltonian graph theory (due to Dirac, Ore, Nash-Williams, Bondy, Jung and so on) as special cases. A number of extended and strengthened versions of these conjectures are proposed.

Topics: Mathematics, Combinatorics

Source: http://arxiv.org/abs/1405.1672

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Sep 23, 2013
09/13

by
T. Beck

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In this paper we propose the concept of formal desingularizations as a substitute for the resolution of algebraic varieties. Though a usual resolution of algebraic varieties provides more information on the structure of singularities there is evidence that the weaker concept is enough for many computational purposes. We give a detailed study of the Jung method and show how it facilitates an efficient computation of formal desingularizations for projective surfaces over a field of characteristic...

Source: http://arxiv.org/abs/0801.2282v1

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Jun 30, 2018
06/18

by
René Brandenberg; Bernardo González Merino

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In this paper we state a one-to-one connection between the maximal ratio of the circumradius and the diameter of a body (the Jung constant) in an arbitrary Minkowski space and the maximal Minkowski asymmetry of the complete bodies within that space. This allows to generalize and unify recent results on complete bodies and to derive a necessary condition on the unit ball of the space, assuming a given body to be complete. Finally, we state several corollaries, i.e. concerning the Helly dimension...

Topics: Mathematics, Metric Geometry

Source: http://arxiv.org/abs/1412.8693

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Jun 30, 2018
06/18

by
Steven Dale Cutkosky

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Suppose that R\rightarrow S is an extension of local domains and \nu^* is a valuation dominating S. We consider the natural extension of associated graded rings along the valuation gr_{\nu^*}(R)\rightarrow gr_{\nu^*}(S). We give examples showing that in general, this extension does not share good properties of the extension $\rightarrow S, but after enough blow ups above the valuations, good properties of the extension R\rightarrow S are reflected in the extension of associated graded rings....

Topics: Mathematics, Commutative Algebra, Algebraic Geometry

Source: http://arxiv.org/abs/1411.4843

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Jul 20, 2013
07/13

by
Luca Salasnich

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We review the paper 'Integrability of the S-Matrix vs Integrability of the Hamiltonian' by C. Jung and T.H. Seligman (Phys. Rep. 285, 77-141 (1997)). This paper deals with the connection between the integrability of the scattering matrix $S$ and the integrability of the Hamiltonian $H$ for classical and quantum Hamiltonian systems.

Source: http://arxiv.org/abs/chao-dyn/9712014v1

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Jun 29, 2018
06/18

by
D. Shlyakhtenko

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We show that if $\Gamma$ is an infinite finitely generated finitely presented sofic group with zero first $L^{2}$ Betti number then the von Neumann algebra $L(\Gamma)$ is strongly $1$-bounded in the sense of Jung. In particular, $L(\Gamma)\not\cong L(\Lambda)$ if $\Lambda$ is any group with free entropy dimension $>1$, for example a free group. The key technical result is a short proof of an estimate of Jung using non-microstates entropy techniques.

Topics: Operator Algebras, Mathematics

Source: http://arxiv.org/abs/1604.08606

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Jun 30, 2018
06/18

by
Michael Brannan; Roland Vergnioux

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We prove that the orthogonal free quantum group factors $\mathcal{L}(\mathbb{F}O_N)$ are strongly $1$-bounded in the sense of Jung. In particular, they are not isomorphic to free group factors. This result is obtained by establishing a spectral regularity result for the edge reversing operator on the quantum Cayley tree associated to $\mathbb{F}O_N$, and combining this result with a recent free entropy dimension rank theorem of Jung and Shlyakhtenko.

Topics: Operator Algebras, Mathematics

Source: http://arxiv.org/abs/1703.08134

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Sep 19, 2013
09/13

by
Chunsheng Ban; Lee J. McEwan; András Némethi

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The goal of this paper is the presentation of an ``embedded resolution'' of ({f(x,y)+z^2=0},0) \subset (C^3,0) using the method of Jung.

Source: http://arxiv.org/abs/math/9911187v2

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Jun 30, 2018
06/18

by
Seoung Dal Jung

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On a closed, connected Riemannian manifold with a K\"ahler foliation of codimension $q=2m$, any transverse Killing $r\ (\geq 2)$-form is parallel (S. D. Jung and M. J. Jung [\ref{JJ2}], Bull. Korean Math. Soc. 49 (2012)). In this paper, we study transverse conformal Killing forms on K\"ahler foliations and prove that if the foliation is minimal, then for any transversal conformal Killing $r$-form $\phi$ $(2\leq r \leq q-2)$, $J\phi$ is parallel. Here $J$ is defined in Section 4.

Topics: Mathematics, Differential Geometry

Source: http://arxiv.org/abs/1408.6907

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Jun 29, 2018
06/18

by
Shigeru Kuroda

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Due to Rentschler, Miyanishi and Kojima, the invariant ring for a ${\bf G}_a$-action on the affine plane over an arbitrary field is generated by one coordinate. In this note, we give a new short proof for this result using the automorphism theorem of Jung and van der Kulk.

Topics: Commutative Algebra, Algebraic Geometry, Mathematics

Source: http://arxiv.org/abs/1604.04070

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Jun 29, 2018
06/18

by
Bernardo González Merino

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In this work we study upper bounds for the ratio of successive inner and outer radii of a convex body K. This problem was studied by Perel'man and Pukhov and it is a natural generalization of the classical results of Jung and Steinhagen. We also introduce a technique which relates sections and projections of a convex body in an optimal way.

Topics: Metric Geometry, Mathematics

Source: http://arxiv.org/abs/1601.06997

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Sep 23, 2013
09/13

by
Jeremiah M. Kermes

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In this paper we discuss the desingularization algorithm for a toric surface. In particular, we construct an iterable method of determining the Hirzebruch-Jung continued fraction decomposition. These results are then applied to weighted projective planes with at least one tivial weight, ${\mathbb P}(1,m,n)$. The paper concludes with the development of a computer program that computes this continued fraction decomposition.

Source: http://arxiv.org/abs/0710.3409v1

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Sep 23, 2013
09/13

by
Nguyen Van Chau

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The Automorphism Theorem, discovered first by Jung in 1942, asserts that if $k$ is a field, then every polynomial automorphism of $k^2$ is a finite product of linear automorphisms and automorphisms of the form $(x,y)\mapsto(x+p(y), y) $ for $p\in k[y]$. We present here a simple proof for the case $k=\C$ by using Newton-Puiseux expansions.

Source: http://arxiv.org/abs/math/0408077v1

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Sep 21, 2013
09/13

by
V. NguyenKhac; K. NguyenVan

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We give a characterization of extremal sets in Hilbert spaces that generalizes a classical theorem of H. W. E. Jung. We investigate also the behaviour of points near to the circumsphere of such a set with respect to the Kuratowski and Hausdorff measures of non-compactness.

Source: http://arxiv.org/abs/math/0203190v3

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Sep 18, 2013
09/13

by
Pascal Berthomé; Jean-François Lalande; Vincent Levorato

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This technical report describes the implementation of exact and parametrized exponential algorithms, developed during the French ANR Agape during 2010-2012. The developed algorithms are distributed under the CeCILL license and have been written in Java using the Jung graph library.

Source: http://arxiv.org/abs/1201.5985v1

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Sep 20, 2013
09/13

by
Yang-Hui He

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We study closed string tachyon condensation on general non-supersymmetric orbifolds of C^2. Extending previous analyses on Abelian cases, we present the classification of quotients by discrete finite subgroups of GL(2; C) as well as the generalised Hirzebruch-Jung continued fractions associated with the resolution data. Furthermore, we discuss the intimate connexions with certain generalised versions of the McKay Correspondence.

Source: http://arxiv.org/abs/hep-th/0301162v3

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Sep 18, 2013
09/13

by
Samuel Grushevsky; Riccardo Salvati Manni

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Combining certain identities for modular forms due to Igusa with Schottky-Jung relations, we study the cosmological constant for the recently proposed ansatz for the chiral superstring measure in genus 5. The vanishing of this cosmological constant turns out to be equivalent to the long-conjectured vanishing of a certain explicit modular form of genus 5 on the moduli of curves M_5, and we disprove this conjecture, thus showing that the cosmological constant for the proposed ansatz does not...

Source: http://arxiv.org/abs/0809.1391v5

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Sep 22, 2013
09/13

by
Charles Siegel

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In this paper, we present a solution to the Schottky problem in the spirit of Schottky and Jung for genus five curves. To do so, we exploit natural incidence structures on the fibers of several maps to reduce all questions to statements about the Prym map for genus six curves. This allows us to find all components of the big Schottky locus and thus, to show that the small Schottky locus introduced by Donagi is irreducible.

Source: http://arxiv.org/abs/1302.5946v1

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Sep 21, 2013
09/13

by
Na Sai; Michael Zwolak; Giovanni Vignale; Massimiliano Di Ventra

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We reply to the comment by Jung, Bokes, and Godby (arXiv:0706.0140) on our paper Phys. Rev. Lett. 94, 186810 (2005). We show that the results in their comment should not be taken as an indication that the viscosity corrections to the conductance of real nanoscale structures are small. A more accurate treatment of the density and current density distribution and of the electronic correlations may yield much larger corrections in realistic systems.

Source: http://arxiv.org/abs/0706.0198v1

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Sep 19, 2013
09/13

by
Gabor Elek; Endre Szabo

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Using probabilistic methods, Collins and Dykema proved that the free product of two sofic groups amalgamated over a monotileably amenable subgroup is sofic as well. We show that the restriction is unnecessary; the free product of two sofic groups amalgamated over an arbitrary amenable subgroup is sofic. We also prove a group theoretical analogue of a result of Kenley Jung. A finitely generated group is amenable if and only if it has only one sofic representation up to conjugacy equivalence.

Source: http://arxiv.org/abs/1010.3424v2

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Sep 21, 2013
09/13

by
Alexander Miller

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Ehrenborg and Jung recently related the order complex for the lattice of d-divisible partitions with the simplicial complex of pointed ordered set partitions via a homotopy equivalence. The latter has top homology naturally identified as a Specht module. Their work unifies that of Calderbank, Hanlon, Robinson, and Wachs. By focusing on the underlying geometry, we strengthen and extend these results from type A to all real reflection groups and the complex reflection groups known as Shephard...

Source: http://arxiv.org/abs/1108.1429v3

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Jun 27, 2018
06/18

by
Hisaki Hatanaka

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A scale-invariant extension of the Standard Model with a singlet-scalar and hidden-QCD sector is studied. The scale of electroweak symmetry breaking is generated dynamically in an asymptotic-free hidden-QCD sector, and mediated by the Higgs-singlet coupling. Hidden-QCD pions are stable and can be a candidate of the cold dark matter. This presentation is based on a collaboration with D. W. Jung and P. Ko.

Topic: High Energy Physics - Phenomenology

Source: http://arxiv.org/abs/1506.00566

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Jun 28, 2018
06/18

by
Steve Zelditch

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We prove that the number of nodal domains of a density one subsequence of eigenfunctions grows at least logarithmically with the eigenvalue on negatively curved `real Riemann surfaces'. The geometric model is the same as in prior joint work with Junehyuk Jung (arXiv:1310.2919, to appear in J. Diff. Geom), where the number of nodal domains was shown to tend to infinity, but without a specified rate. The proof of the logarithmic rate uses the new logarithmic scale quantum ergodicity results of...

Topics: Spectral Theory, Mathematics

Source: http://arxiv.org/abs/1510.05315

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Jun 30, 2018
06/18

by
Krzysztof Jan Nowak

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This paper provides, over Henselian valued fields, some theorems on implicit function and of Artin--Mazur on algebraic power series. Also discussed are certain versions of the theorems of Abhyankar--Jung and Newton--Puiseux. The latter is used in analysis of functions of one variable, definable in the language of Denef--Pas, to obtain a theorem on existence of the limit, proven over rank one valued fields in one of our recent papers. This result along with the technique of fiber shrinking...

Topics: Algebraic Geometry, Mathematics

Source: http://arxiv.org/abs/1703.08203

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Sep 22, 2013
09/13

by
M. J. Soto; José L. Vicente

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We show that a convex pyramid in R^n with apex at 0 can be brought to the first quadrant by a finite sequence of monomial blowing-ups if and only if its intersection with the opposite of the first quadrant is 0. The proof is non-trivially derived from the theorem of Farkas-Minkowski. Then, we apply this theorem to show how the Newton diagrams of the roots of any Weierstrass polynomial are contained in a pyramid of this type. Finally, if n = 2, this fact is equivalent to the Jung-Abhyankar...

Source: http://arxiv.org/abs/math/0409446v1

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Sep 23, 2013
09/13

by
Guillaume Rond

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We construct algebraically closed fields containing an algebraic closure of the field of power series in several variables over a characteristic zero field. Each of these fields depends on the choice of an Abhyankar valuation and are constructed via the Newton-Puiseux method. Then we study more carefully the case of monomial valuations and we give a result generalizing the Abhyankar-Jung Theorem for monic polynomials whose discriminant is weighted homogeneous. Essentially this result asserts...

Source: http://arxiv.org/abs/1303.1921v2

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Sep 17, 2013
09/13

by
Jorge Antezana; Enrique R. Pujals; Demetrio Stojanoff

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Given an $r\times r$ complex matrix $T$, if $T=U|T|$ is the polar decomposition of $T$, then, the Aluthge transform is defined by $$ \Delta(T)= |T|^{1/2} U |T |^{1/2}. $$ Let $\Delta^{n}(T)$ denote the n-times iterated Aluthge transform of $T$, i.e. $\Delta^{0}(T)=T$ and $\Delta^{n}(T)=\Delta(\Delta^{n-1}(T))$, $n\in\mathbb{N}$. We prove that the sequence $\{\Delta^{n}(T)\}_{n\in\mathbb{N}}$ converges for every $r\times r$ matrix $T$. This result was conjecturated by Jung, Ko and Pearcy in...

Source: http://arxiv.org/abs/0711.3727v1

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Sep 19, 2013
09/13

by
Joost Berson

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In a recent paper it has been established that over an Artinian ring R all two-dimensional polynomial automorphisms having Jacobian determinant one are tame if R is a Q-algebra. This is a generalization of the famous Jung-Van der Kulk Theorem, which deals with the case that R is a field (of any characteristic). Here we will show that for tameness over an Artinian ring, the Q-algebra assumption is really needed: we will give, for local Artinian rings with square-zero principal maximal ideal, a...

Source: http://arxiv.org/abs/0910.3519v1

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Sep 21, 2013
09/13

by
Philippe Bonnet; Stéphane Vénéreau

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Let $I$ be the ideal of relations between the leading terms of the polynomials defining an automorphism of $K^n$. In this paper, we prove the existence of a locally nilpotent derivation which preserves $I$. Moreover, if $I$ is principal, i.e. $I=(R)$, we compute an upper bound for $\deg_2(R)$ for some degree function $\deg_2$ defined by the automorphism. As applications, we determine all the principal ideals of relations for automorphisms of $K^3$ and deduce two elementary proofs of the...

Source: http://arxiv.org/abs/0808.1821v1

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Sep 23, 2013
09/13

by
I. Arzhantsev; M. Zaidenberg

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We show that every irreducible, simply connected curve on a toric affine surface X over the field of complex numbers is an orbit closure of a multiplicative group action on X. It follows that up to the action of the automorphism group Aut(X) there are only finitely many non-equivalent embeddings of the affine line in X. A similar description is given for simply connected curves in the quotients of the affine plane by small finite linear groups. We provide also an analog of the Jung-van der Kulk...

Source: http://arxiv.org/abs/1110.3028v2

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Jun 30, 2018
06/18

by
Yoon Mo Jung; Jianhong Jackie Shen

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We propose a new variational illusory shape (VIS) model via phase fields and phase transitions. It is inspired by the first-order variational illusory contour (VIC) model proposed by Jung and Shen [{\em J. Visual Comm. Image Repres.}, {\bf 19}:42-55, 2008]. Under the new VIS model, illusory shapes are represented by phase values close to 1 while the rest by values close to 0. The 0-1 transition is achieved by an elliptic energy with a double-well potential, as in the theory of...

Topics: Quantitative Biology, Neurons and Cognition, Mathematics, Computing Research Repository, Computer...

Source: http://arxiv.org/abs/1406.1265

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0.0

Jun 30, 2018
06/18

by
Isaac Goldbring; Thomas Sinclair

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Kirchberg's Embedding Problem (KEP) asks whether every separable C$^*$ algebra embeds into an ultrapower of the Cuntz algebra $\mathcal{O}_2$. In this paper, we use model theory to show that this conjecture is equivalent to a local approximate nuclearity condition that we call the existence of good nuclear witnesses. In order to prove this result, we study general properties of existentially closed C$^*$ algebras. Along the way, we establish a connection between existentially closed C$^*$...

Topics: Mathematics, Logic, Operator Algebras

Source: http://arxiv.org/abs/1404.1861

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2.0

Jun 30, 2018
06/18

by
Simon Kramer

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We propose a computable Galois-connection between, on the one hand, Cattell's 16-Personality-Factor (16PF) Profiles, one of the most comprehensive and widely-used personality measures for non-psychiatric populations and their containing PsychEval Personality Profiles (PPPs) for psychiatric populations, and, on the other hand, Szondi's personality profiles (SPPs), a less well-known but, as we show, finer personality measure for psychiatric as well as non-psychiatric populations (conceived as a...

Topics: Computers and Society, Computational Engineering, Finance, and Science, Computing Research...

Source: http://arxiv.org/abs/1405.0877

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2.0

Jun 28, 2018
06/18

by
Christos Pelekis

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Fix positive integers $a$ and $b$ such that $a> b\geq 2$ and a positive real $\delta>0$. Let $S$ be a planar set of diameter $\delta$ having the following property: for every $a$ points in $S$, at least $b$ of them have pairwise distances that are all less than or equal to $2$. What is the maximum Lebesgue measure of $S$? In this paper we investigate this problem. We discuss the, devious, motivation that leads to its formulation and provide upper bounds on the Lebesgue measure of $S$. Our...

Topics: Computational Geometry, Computing Research Repository

Source: http://arxiv.org/abs/1507.01631

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0.0

Jun 30, 2018
06/18

by
György Pál Gehér

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In this paper we investigate a new class of operators called weighted shifts on directed trees introduced recently in [Z. J. Jablonski, I. B. Jung and J. Stochel, A Non-hyponormal Operator Generating Stieltjes Moment Sequences, J. Funct. Anal. 262 (2012), no. 9, 3946--3980.]. This class is a natural generalization of the so called weighted bilateral, unilateral and backward shift operators. In the first part of the paper we calculate the asymptotic limit and the isometric asymptote of a...

Topics: Functional Analysis, Mathematics

Source: http://arxiv.org/abs/1401.5927

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Jun 30, 2018
06/18

by
Simon Kramer

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We propose a computable Galois-connection between Myers-Briggs' Type Indicators (MBTIs), the most widely-used personality measure for non-psychiatric populations (based on C.G. Jung's personality types), and Szondi's personality profiles (SPPs), a less well-known but, as we show, finer personality measure for psychiatric as well as non-psychiatric populations (conceived as a unification of the depth psychology of S. Freud, C.G. Jung, and A. Adler). The practical significance of our result is...

Topics: Computers and Society, Computational Engineering, Finance, and Science, Computing Research...

Source: http://arxiv.org/abs/1403.2000

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Sep 19, 2013
09/13

by
G. Della Valle; M. Ornigotti; E. Cianci; V. Foglietti; P. Laporta; S. Longhi

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We report on a direct visualization of coherent destruction of tunneling (CDT) of light waves in a double well system which provides an optical analog of quantum CDT as originally proposed by Grossmann, Dittrich, Jung, and Hanggi [Phys. Rev. Lett. {\bf 67}, 516 (1991)]. The driven double well, realized by two periodically-curved waveguides in an Er:Yb-doped glass, is designed so that spatial light propagation exactly mimics the coherent space-time dynamics of matter waves in a driven...

Source: http://arxiv.org/abs/quant-ph/0701121v2

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Sep 18, 2013
09/13

by
Michele Cirafici; Richard J. Szabo

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We survey some features of equivariant instanton partition functions of topological gauge theories on four and six dimensional toric Kahler varieties, and their geometric and algebraic counterparts in the enumerative problem of counting holomorphic curves. We discuss the relations of instanton counting to representations of affine Lie algebras in the four-dimensional case, and to Donaldson-Thomas theory for ideal sheaves on Calabi-Yau threefolds. For resolutions of toric singularities, an...

Source: http://arxiv.org/abs/1209.1486v2

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Sep 19, 2013
09/13

by
Hideo Hasegawa

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The Langevin system subjected to non-Gaussian noise has been discussed, by using the second-order moment approach with two kinds of models for generating the noise. We have derived the effective differential equation (DE) for a variable $x$, from which the stationary probability distribution $P(x)$ has been calculated with the use of the Fokker-Planck equation. The result of $P(x)$ calculated by the moment method is compared to several expressions obtained by different methods such as the...

Source: http://arxiv.org/abs/cond-mat/0701133v4

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0.0

Jun 30, 2018
06/18

by
Dzmitry Dudko; Dierk Schleicher

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We give a combinatorial definition of "core entropy" for quadratic polynomials as the growth exponent of the number of certain precritical points in the Julia set (those that separate the $\alpha$ fixed point from its negative). This notion extends known definitions that work in cases when the polynomial is postcritically finite or when the topology of the Julia set has good properties, and it applies to all quadratic polynomials in the Mandelbrot set. We prove that core entropy is...

Topics: Mathematics, Dynamical Systems

Source: http://arxiv.org/abs/1412.8760

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1.0

Jun 30, 2018
06/18

by
Pakhshan Espoukeh; Pouria Pedram

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We investigate two-party quantum teleportation through noisy channels for multi-qubit Greenberger-Horne-Zeilinger (GHZ) states and find which state loses less quantum information in the process. The dynamics of states is described by the master equation with the noisy channels that lead to the quantum channels to be mixed states. We analytically solve the Lindblad equation for $n$-qubit GHZ states $n\in\{4,5,6\}$ where Lindblad operators correspond to the Pauli matrices and describe the...

Topic: Quantum Physics

Source: http://arxiv.org/abs/1403.1147

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0.0

Jun 29, 2018
06/18

by
Stephan F. Huckemann; Benjamin Eltzner

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For sequences of random backward nested subspaces as occur, say, in dimension reduction for manifold or stratified space valued data, asymptotic results are derived. In fact, we formulate our results more generally for backward nested families of descriptors (BNFD). Under rather general conditions, asymptotic strong consistency holds. Under additional, still rather general hypotheses, among them existence of a.s. local twice differentiable charts, asymptotic joint normality of a BNFD can be...

Topics: Statistics, Methodology, Statistics Theory, Mathematics

Source: http://arxiv.org/abs/1609.00814

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Sep 22, 2013
09/13

by
Ken Dykema

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We show that if A is a Hilbert-space operator, then the set of all projections onto hyperinvariant subspaces of A, which is contained in the von Neumann algebra vN(A) that is generated by A, is independent of the representation of vN(A), thought of as an abstract W^*-algebra. We modify a technique of Foias, Ko, Jung and Pearcy to get a method for finding nontrivial hyperinvariant subspaces of certain operators in finite von Neumann algebras. We introduce the B-circular operators as a special...

Source: http://arxiv.org/abs/math/0403184v2

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Sep 21, 2013
09/13

by
Simon Smith

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A group $G$ of permutations of a set $\Omega$ is {\em primitive} if it acts transitively on $\Omega$, and the only $G$-invariant equivalence relations on $\Omega$ are the trivial and universal relations. A graph $\Gamma$ is {\em primitive} if its automorphism group acts primitively on its vertex set. A graph $\Gamma$ has {\em connectivity one} if it is connected and there exists a vertex $\alpha$ of $\Gamma$, such that the induced graph $\Gamma \setminus \{\alpha\}$ is not connected. If...

Source: http://arxiv.org/abs/math/0602011v1

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Jun 29, 2018
06/18

by
Hamid Hezari

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We prove an analogue of Sogge's local $L^p$ estimates for $L^p$ norms of restrictions of eigenfunctions to submanifolds, and use it to show that for quantum ergodic eigenfunctions one can get improvements of the results of Burq-G\'erard-Tzvetkov, Hu, and Chen-Sogge. The improvements are logarithmic on negatively curved manifolds (without boundary) and by $o(1)$ for manifolds (with or without boundary) with ergodic geodesic flows. In the case of ergodic billiards with piecewise smooth boundary,...

Topics: Differential Geometry, Spectral Theory, Classical Analysis and ODEs, Analysis of PDEs, Mathematics

Source: http://arxiv.org/abs/1606.08066

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Sep 21, 2013
09/13

by
Zh. G. Nikoghosyan

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We present eighteen exact analogs of six well-known fundamental Theorems (due to Dirac, Nash-Williams and Jung) in hamiltonian graph theory providing alternative compositions of graph invariants. In Theorems 1-3 we give three lower bounds for the length of a longest cycle $C$ of a graph $G$ in terms of minimum degree $\delta$, connectivity $\kappa$ and parameters $\bar{p}$, $\bar{c}$ - the lengths of a longest path and longest cycle in $G\backslash C$, respectively. These bounds have no analogs...

Source: http://arxiv.org/abs/1204.1961v1

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Sep 23, 2013
09/13

by
Zuo-Bing Wu

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The JTZ model [C. Jung, T. T\'el and E. Ziemniak, Chaos {\bf 3}, (1993) 555], as a theoretical model of a plane wake behind a circular cylinder in a narrow channel at a moderate Reynolds number, has previously been employed to analyze phenomena of chaotic scattering. It is extended here to describe an open plane wake without the confined narrow channel by incorporating a double row of shedding vortices into the intermediate and far wake. The extended JTZ model is found in qualitative agreement...

Source: http://arxiv.org/abs/1112.3091v1

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Jun 27, 2018
06/18

by
Rafal Maciula; Antoni Szczurek; Marta Luszczak

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We discuss inclusive production of open charm mesons in proton-proton scattering at the BNL RHIC. The calculation is performed in the framework of $k_t$-factorization approach which effectively includes higher-order pQCD corrections. Different models of unintegrated gluon distributions (UGDF) from the literature are used. We focus on UGDF models favoured by the LHC data and on a new up-to-date parametrizations based on the HERA collider DIS high-precision data. Results of the...

Topics: High Energy Physics - Phenomenology, High Energy Physics - Experiment

Source: http://arxiv.org/abs/1505.05038